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Statement-if

Statement-if->else

Get the else field from a statement-if.

Signature
(statement-if->else x) → else
Arguments: x — Guard (statementp x).
Returns: else — Type (statement-listp else).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: statement-if->else$inline

(defun statement-if->else$inline (x)
  (declare (xargs :guard (statementp x)))
  (declare (xargs :guard (equal (statement-kind x) :if)))
  (let ((__function__ 'statement-if->else))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (statement-kind x) :if) x)))
           (statement-list-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: statement-listp-of-statement-if->else

(defthm statement-listp-of-statement-if->else
  (b* ((else (statement-if->else$inline x)))
    (statement-listp else))
  :rule-classes :rewrite)

Theorem: statement-if->else$inline-of-statement-fix-x

(defthm statement-if->else$inline-of-statement-fix-x
  (equal (statement-if->else$inline (statement-fix x))
         (statement-if->else$inline x)))

Theorem: statement-if->else$inline-statement-equiv-congruence-on-x

(defthm statement-if->else$inline-statement-equiv-congruence-on-x
  (implies (statement-equiv x x-equiv)
           (equal (statement-if->else$inline x)
                  (statement-if->else$inline x-equiv)))
  :rule-classes :congruence)

Theorem: statement-if->else-when-wrong-kind

(defthm statement-if->else-when-wrong-kind
  (implies (not (equal (statement-kind x) :if))
           (equal (statement-if->else x)
                  (statement-list-fix nil))))